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To simplify the expression sin(30°) cos(90°) sin(90°) cos(30°), we first evaluate the trigonometric functions at the given angles. sin(30°) = 1/2, cos(90°) = 0, sin(90°) = 1, and cos(30°) = √3/2. Substituting these values into the expression, we get (1/2) * 0 * 1 * (√3/2) = 0. Therefore, the final result of sin(30°) cos(90°) sin(90°) cos(30°) is 0.
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What is the value of cos -90?
cos90=0
If the shortest leg of a 30 60 90 triangle has length 7 the length of the hypotenuse is?
2*7 = 14 units (the sin of 30° is 0.5 or 1/2 and 7/0.5 = 14) Sin30 = 7/H so H = 7/sin30 = 7/0.5 = 14 (third side is 12.12)
If the shortest leg of a 30-60-90 triangle has a length of 7 the length of the hypotenuse is?
7/sin30 ie 14 units
What is sin 80?
sin(90 deg) = 0.9848, approx.
What are the ratios of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse?
The longer leg is opposite the 60 deg angle. Suppose A = 60 deg, C = 90 deg and a and c are the corresponding sides. Then, by the sine rule a/c = sin(A)/sin(C) a/c = sin(60)/sin(90) = sqrt(3)/2
What is the value of cos -90?
cos90=0
Why is tan90 is undefined?
tan90=Sin90/Cos90, sin90=1 and cos90=0 so 1/0 = undefined hence tan 90 is undifined
If the shortest leg of a 30 60 90 triangle has length 7 the length of the hypotenuse is?
2*7 = 14 units (the sin of 30° is 0.5 or 1/2 and 7/0.5 = 14) Sin30 = 7/H so H = 7/sin30 = 7/0.5 = 14 (third side is 12.12)
Does sine 40 equal sin 20?
NO!!! Sine40 = Cosine50 = 0.64278... Sin30 = Cos 60 = 0.5 Sin 0 = Cos 90 = 0 Sin 90 = Cos 0 = 1 From Latin the word 'Sine' means 'curve'. Cosine means 'Complimentary Sine' or Complimentary curve'. The 'awkward' decimal numbers are based on a the radius of a circle, that radius being the hypotenuse of a right- triangle based at the circles origin/centre.
What is sin 90?
sin 90 is 1
What is the sin of 90 degrees?
sin(90) = 1
If the shortest leg of a 30-60-90 triangle has a length of 7 the length of the hypotenuse is?
7/sin30 ie 14 units
True or False y equals sin theta is not a function because sin 30 degrees equals sin 150 degrees. Justify your answer?
False.A function can map several (or even all) values in the domain to a single value in the range. What it cannot do, is to map a single value in the domain to several values in the range. In other words, a function can be many-to-one (or one-to-one) but not one-to-many.One consequence of sin30 = sin150 is that arcsine is not a function unless its range is restricted to -90 to +90 degrees - or some equivalent interval.
Why is sine 30 the same as cosine of 60?
sin(30) = sin(90 - 60) = sin(90)*cos(60) - cos(90)*sin(60) = 1*cos(60) - 0*sin(60) = cos(60).
In a 30-60-90 right triangle the length of the hypotenuse is?
You need the length of a side. Try sketching different size triangles with 30/60/90 degree angles - there's an infinite number of them. The length of the hypotenuse is the shortest side / sin30 or the third side / sin60. As sin 30 is 0.5 then the hypotenuse is twice the length of the shortest side (or the third side divided by ½root3 ).
What is the relationship between the cos and sin of the non 90 degree angles in a right angle triangle?
sin θ = cos (90° - θ) cos θ = sin (90° - θ)
What is sin 80?
sin(90 deg) = 0.9848, approx.
